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비선형 불규칙 진동 보의 등가에너지법에 의한 선형화
Linearization of Nonlinear Random Vibration Beam by Equivalent Energy Method

이신영 ;    (군산대학교 기계공학부 ;  );
  • 초록

    Nonlinear dynamic system under random excitation was analyzed by using stochastic method. A linearization method was used in order to linearize non-linear structural characteristics but the parametric excitation was used as it was given. An equivalent energy method which equalizes the expectation value of energy of the original nonlinear system and that of quasi-linearized system was proposed. Ito's differential rule was applied to obtain steady state moments. Quasi-linearization coefficients can be obtained the iterative calculation of linearization scheme and steady state moments. Monte Carlo simulation was used to verify the results of the proposed method. Nonlinear vibration of a slender beam was analyzed in this research. The analysis results were compared with Monte Carlo simulation result and showed good agreement. As the spectral density of the given excitation increased, the analysis results showed the better agreement with Monte Carlo simulation.


  • 주제어

    비선형 시스템 .   확률론적 방법 .   등가에너지법 .   기댓값 .   몬테카를로 시뮬레이션.  

  • 참고문헌 (15)

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    15. To, C. H. S., 2000, Nonlinear Random Vibration: Analytical Techniques and Applications, Swets & Zeitlinger B.V., Lisse, the Netherlands 
  • 이 논문을 인용한 문헌 (1)

    1. 2009. "" Journal of mechanical science and technology, 23(8): 2022~2029     

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  • 이신영 (24)

    1. 1992 "공작기계 베어링 결합부의 동적 모델링 연구" 한국정밀공학회지 = Journal of the Korean Society of Precision Engineering 9 (2): 61~68    
    2. 1996 "벨트 구동계의 비선형 진동특성 해석 제목" 大韓機械學會論文集. Transactions of the Korean Society of Mechanical Engineers. A. A 20 (4): 1251~1262    
    3. 1997 "펄세이터형 세탁 시스템의 진동 해석" 소음진동 = Journal of KSNVE 7 (2): 261~272    
    4. 1997 "금형 가공기의 엔드밀 가공 및 구조 동특성 해석" 한국정밀공학회지 = Journal of the Korean Society of Precision Engineering 14 (3): 66~74    
    5. 1999 "신경회로망을 이용한 엔드밀 가공의 비절삭력계수 모델링" 大韓機械學會論文集. Transactions of the Korean Society of Mechanical Engineers. A. A 23 (6): 979~987    
    6. 1999 "고속 CNC 선반의 동특성 해석과 채터 예측" 한국정밀공학회지 = Journal of the Korean Society of Precision Engineering 16 (7): 151~157    
    7. 2000 "Analysis of Dynamic Characteristics of Structural Joints Using Stiffness Influence Coefficients" KSME international journal 14 (12): 1319~1327    
    8. 2000 "Specific Cutting Force Coefficients Modeling of End Milling by Neural Network" KSME international journal 14 (6): 622~632    
    9. 2001 "선삭시 절삭조건이 표면거칠기에 미치는 영향 분석" 한국정밀공학회지 = Journal of the Korean Society of Precision Engineering 18 (8): 139~149    
    10. 2003 "Chatter Analysis of a Parallel Mechanism-based Universal Machining Center" KSME international journal 17 (5): 691~697    

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